Book
Licensed
Unlicensed
Requires Authentication
Introduction to Differential Geometry and Riemannian Geometry
-
Erwin Kreyszig
Language:
English
Published/Copyright:
1968
About this book
This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig's earlier book Differential Geometry, it is presented in a simple and understandable manner with many examples illustrating the ideas, methods, and results.
Author / Editor information
Kreyszig Erwin :
Erwin Kreyszig (1922-2008) was a professor of mathematics at Carleton University. After retirement from Carleton he was given the title of Distinguished Research Professor and continued to play an active role in the Department, maintaining his office and continuing his research.
Topics
-
Download PDFPublicly Available
Frontmatter
i -
Download PDFPublicly Available
Preface
vii -
Download PDFPublicly Available
Contents
ix -
Requires Authentication UnlicensedLicensed
Important Notations
1 -
Requires Authentication UnlicensedLicensed
I. Preliminaries
5 -
Requires Authentication UnlicensedLicensed
II. Theory Of Curves
20 -
Requires Authentication UnlicensedLicensed
III. Notion Of A Surface. First Fundamental Form
55 -
Requires Authentication UnlicensedLicensed
IV. Second Fundamental Form. Gaussian And Mean Curvature
78 -
Requires Authentication UnlicensedLicensed
V. Tensors
100 -
Requires Authentication UnlicensedLicensed
VI. Formulae Of Weingarten And Gauss
125 -
Requires Authentication UnlicensedLicensed
VII. Geodesic Curvature. Geodesics
137 -
Requires Authentication UnlicensedLicensed
VIII. Isometric Mapping Of Surfaces
160 -
Requires Authentication UnlicensedLicensed
IX. Further Mappings Of Surfaces
180 -
Requires Authentication UnlicensedLicensed
X. Topics From Global Differential Geometry
204 -
Requires Authentication UnlicensedLicensed
XI. Absolute Differentiation And Connexions On Surfaces
215 -
Requires Authentication UnlicensedLicensed
XII. Special Surfaces
236 -
Requires Authentication UnlicensedLicensed
XIII. Foundations Of Riemannian Geometry
275 -
Requires Authentication UnlicensedLicensed
XIV. Absolute Differentiation And Connexion
283 -
Requires Authentication UnlicensedLicensed
XV. Further Properties Of Riemannian Manifolds
301 -
Requires Authentication UnlicensedLicensed
XVI. Hypersurfaces
314 -
Requires Authentication UnlicensedLicensed
Answers to Odd-Numbered Problems
327 -
Requires Authentication UnlicensedLicensed
Collection Of Formulae
338 -
Requires Authentication UnlicensedLicensed
Bibliography
359 -
Requires Authentication UnlicensedLicensed
Index
365
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 15, 1968
eBook ISBN:
9781487589448
Pages and Images/Illustrations in book
Main content:
382
eBook ISBN:
9781487589448
Audience(s) for this book
College/higher education;Professional and scholarly;
